PPT-FINITE ELEMENT APPROXIMATION

RayleighRitz method approximate solution in the entire beam Difficult to find good approximate solution discontinuities in derivatives Finite element approximates solution in an element In a small element simple functions are acceptably accurate. Page 1 of 6 www.oasys-software.com Footfall Vibration and Finite Element Analysis Introduction The possibility of human footfall loading leading to excessive vibration of structures has long been Prasad . Raghavendra. . Ning. Chen C. . . Thach. . Nguyen . . . Atri. . Rudra. . . Gyanit. Singh. University of Washington. Roee . Engelberg. Technion. University. MASONARY WALL : . STATE OF THE ART. Submitted by-. BHAWNESH KULDEEP. (. 2010PST120. ). M.Tech. 3. rd. Sem.. Guided by:-. Dr . . Ravindra. Nagar. . (Prof.). Department of Structural . Engg. .. MNIT . Sometimes we can handle NP problems with polynomial time algorithms which are guaranteed to return a solution within some specific bound of the optimal solution. within a constant . c. . of the optimal. Tecgraf. - Computer Graphics Technology Group. Department . of Civil and Environmental Engineering. University of . Illinois . at . Urbana-Champaign. MECOM del Bicentenario. 15 - 18 November 2010 . -. Chapter 2. Finite Element Analysis (F.E.A.) of 1-D Problems. Historical Background . Hrenikoff, 1941 – “frame work method” . Courant, 1943 – “piecewise polynomial interpolation” . Turner, 1956 – derived stiffness matrices for truss, beam, etc. BEAMS. Austin Cosby . and . Ernesto Gutierrez-. Miravete. Rensselaer at Hartford. Euler-Bernoulli Beam . Theory. The beam has uniform properties. The beam is slender (L/h is small). The beam obeys Hooke’s Law. Agenda. PART I. Introduction and Basic Concepts. 1.0 Computational Methods. 1.1 Idealization. 1.2 Discretization. 1.3 Solution. 2.0 The Finite Elements Method. 2.1 FEM Notation. 2.2 Element Types. Problem. Yan Lu. 2011-04-26. Klaus Jansen SODA 2009. CPSC669 Term Project—Paper Reading. 1. Problem Definition. 2. Approximation Scheme. 2.1 Instances with similar capacities. 2.2 General cases . Outline. Topics for Term Projects by Teams of 2 Students. Instructor: Tai-Ran Hsu, Professor, Dept. of Mechanical engineering, San Jose State University, San Jose, CA, USA. Two-Tier . p. rojects for students in ME 160 class. AND MODELING. FINITE ELEMENT ANALYSIS AND DESIGN. Nam-Ho Kim. INTRODUCTION. When a physical problem statement is given, how can we model and solve it using FEA?. David Cowan (2007). FINITE ELEMENT PROCEDURE. EECT 7327 . Fall 2014. Successive Approximation. (SA) ADC. Successive Approximation ADC. – . 2. –. Data Converters Successive Approximation ADC Professor Y. Chiu. EECT 7327 . Fall 2014. Binary search algorithm → N*. 2.0 Weighted Integral Formulation. INSTRUCTOR. : . OA . Fakinlede . oafak@unilag.edu.ng. . oafak@hotmail.com. . . Department of Systems Engineering, . University of Lagos. The Finite Element Method is a technique for constructing approximate solutions in an element wise application of the . FINITE . ELEMENT ANALYSIS AND DESIGN. Nam-Ho . Kim. INTRODUCTION. We learned . Direct Stiffness Method. in Chapter 2. Limited to simple elements such as 1D bars. In Chapter 3, . Galerkin. Method. and .